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Simplifying -20 = 2(w + 7) + -4w Reorder the terms: -20 = 2(7 + w) + -4w -20 = (7 * 2 + w * 2) + -4w -20 = (14 + 2w) + -4w Combine like terms: 2w + -4w = -2w -20 = 14 + -2w Solving -20 = 14 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -20 + 2w = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 -20 + 2w = 14 + 0 -20 + 2w = 14 Add '20' to each side of the equation. -20 + 20 + 2w = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 2w = 14 + 20 2w = 14 + 20 Combine like terms: 14 + 20 = 34 2w = 34 Divide each side by '2'. w = 17 Simplifying w = 17
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